12647738880 has 720 divisors, whose sum is σ = 54033305040. Its totient is φ = 2716729344.

The previous prime is 12647738879. The next prime is 12647738921. The reversal of 12647738880 is 8883774621.

It is a happy number.

12647738880 is a `hidden beast` number, since 12 + 6 + 477 + 3 + 88 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 19191991 + ... + 19192649.

It is an arithmetic number, because the mean of its divisors is an integer number (75046257).

Almost surely, 2^12647738880 is an apocalyptic number.

12647738880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12647738880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27016652520).

12647738880 is an abundant number, since it is smaller than the sum of its proper divisors (41385566160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12647738880 is a wasteful number, since it uses less digits than its factorization.

12647738880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 693 counting only the distinct ones).

The product of its (nonzero) digits is 3612672, while the sum is 54.

The spelling of 12647738880 in words is "twelve billion, six hundred forty-seven million, seven hundred thirty-eight thousand, eight hundred eighty".